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Finding the Third Proportional to 4,077,338,969 and 6,296,263,086

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Solution

The third proportional to 4,077,338,969 and 6,296,263,086 is: 9,722,745,435.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,077,338,969 : 6,296,263,086 = 6,296,263,086 : x
  2. Step 2: Convert to fraction form
    4,077,338,969/6,296,263,086 = 6,296,263,086/x
  3. Step 3: Cross multiply
    4,077,338,969x = 6,296,263,086 × 6,296,263,086
  4. Step 4: Simplify right side
    4,077,338,969x = 39,642,928,848,126,246,912
  5. Step 5: Solve for x
    x = 39,642,928,848,126,246,912/4,077,338,969
  6. Step 6: Final answer
    x = 9,722,745,435.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.